a. Show that the P-value is 0.007. b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question
Who will you vote for? A simple random sample of 1500 voters were surveyed and asked
whether they were planning to vote for the incumbent mayor for re-election. Seven
hundred ninety-eight of them replied that they were planning to vote for the mayor. The
mayor claims that more than half of all voters are planning to vote for her. To test this
claim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed.
a. Show that the P-value is 0.007.
b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value
is very small, we can be fairly certain that the population proportion p is greater than
0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the
P-value?
Transcribed Image Text:Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage